Problem Solving (PS) | Re: A factory produces nuts and bolts. A machine in it produces only nuts

­For nuts machine:

Each batch of 2000 nuts require\(\frac{2000}{400}\) = 5 min with additional 15 min (clearance) 

Time required for 12000 nuts without clearances =\(12000/400\) =\(30\) \(minutes\)
But we've got interruptions of clearances =\(\frac{30}{5}\) = 6 times 
Last interruption doesn't count, so we got 5 intermittent interruptions accounting for\( 5 *15\) minutes = 75 minutes
Thus, total minimum time required to produce nuts =\(30\) \(minutes\) +\(75\) \(minutes\) =\(105\) \(minutes\)


For bolts machine:

Each batch of 3000 bolts require\(\frac{3000}{300}\) = 10 min with additional 15 minutes (clearance)

Time required for 12000 bolts without clearances =\(12000/300\) =\(40\) \(minutes\)
But we've got interruptions of clearances =\(\frac{40}{10}\) = 4 times 
Last interruption doesn't count, so we got 3 intermittent interruptions accounting for\( 3 *15\) minutes = 45 minutes
Thus, total minimum time required to produce bolts = 40 minutes + 45 minutes = 85 minutes

Worst case scenario = 105 minutes.

Answer is 105\(minutes\) .

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Statistics : Posted by Lord_Biplab • on 02 Dec 2020, 12:45 • Replies 4 • Views 7134

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